Cooper vs. Other Scales

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Hi Flutelanders,

I have been experimenting/practising with the intonation on a powell (signature) and a muramatsu (ex), esp. for the 3rd register, and fine the muramatsu scale goes a lot higher, let say starting from E3 (when I play the two with similar embouchures).

While I can get the powell in good intonation with those high notes, I have a hard time getting in an acceptable range.

I have been using the jaw movement and trying to keep a mouth "chamber" to keep the pitches down. Works quite well on the powell, but not so much on the muramatsu, and I assume the modern powell scale is quite similar to the cooper scale (?)

Thanks in advance for any insight/advise.

MA